How do you factor the trinomial a^2-11ab-60b^2?

1 Answer
Mar 3, 2018

(a+4b)(a-15b)

Explanation:

Note:color(blue)((-15)+(4)=-11and(-15)*(4)=-60)
So,
a^2-color(red)(11ab)-60b^2=a^2color(red)(-15ab+4ab)-60b^2
=acolor(red)((a-15b))+4bcolor(red)((a-15b))=(a+4b)(a-15b).